Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
b
<
4.541
¯
6
b
<
Interval Notation:
(
−
∞
,
4.541
¯
6
)
Answer:
y-4 = (-1/3)(x+1)
Step-by-step explanation:
We need to identify the equation in point slope form.
The standard equation of point slope form is:
(y-y₁) = m (x-x₁)
where m is the slope and x₁ and y₁ are the points
We are given point(4,-1) so,
x₁=4 and y₁=-1
And a perpendicular line: y =3x+5
Which is equal to y = mx+b
where m is slope so, slope m = 3
Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/m
i.e, m = -1/3
So, the equation in point slope form is:
y-(-1) = (-1/3)(x-4)
=> y+1 = (-1/3)(x-4)
Answer:
Tyrel scored 30 and Diego scored 15
Step-by-step explanation:
This is because the ratio of the score is 2:1 (Tyrel : Diego)
and if you add that together you get 3
which means you have to divide 45 by 3 which gives you 15
and this means I part = 15
so with the ratio 2:1 you have to multiply 15 by each ratio
so 15 x 2 = 30 and 15 x 1 = 15
which gives you 30 and 15
Step-by-step explanation:
We have,
![f(x) = - 2 \sqrt[3]{x + 7}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%202%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20%20)
Taking limit,
![\lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7}](https://tex.z-dn.net/?f=%20%5Clim%20_%7Bx%20%5Crarr%20%5Cinfty%20%7D%20f%28x%29%20%5C%5C%20%20%3D%20%20%5Clim%20_%7Bx%20%5Crarr%20%5Cinfty%20%7D%20-%202%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20)
If x approaches to positive infinity,
this implies f(x) approaches to negative infinity
Answer:
30 , 45 , 51 , 39
Step-by-step explanation:
You just add up the numbers until you get 165
